It looks like your left/right relay is not switching.
First Test the Solenoid L/R Select Relay!
When the solenoid A/C select relay is not working correctly, there can be all kinds of coil problems. A malfunctioning L/R relay, if stuck on or off, won't give any power to either the coils or flashlamps. If the relay is constantly energized (stuck on bank "R"), it's probably because it's driver transistor Q29 is shorted on.
On most DataEast/Sega games, the "L" (or "A") bank was for coils, and the "R" (or "B") bank is for flashlamps. But on games from Time Machine to the Simpsons, this logic was reversed. In these games the "L" bank was used for flashlamps (instead of coils), and the "R" bank was used for coils (instead of flashlamps). Keep this in mind when diagnosing problems.
The first thing to do is to test the solenoid L/R select relay. Turn the game on, and enter diagnostics (entering diagnostics should de-energize the L/R relay; on some games the L/R relay will stay energized after finishing a game because of an after-game flasher light show). Take an alligator test wire and connect it to the metal tab on transistor Q29. Then with the game on and in attract or diagnostic mode, touch the other end of the alligator clip to the ground strap in the backbox (WWF Royal Rumble and later, make sure the coin door is closed). The L/R select relay on the PPB board should click "on and off"; it will click on when the transistor is grounded, and off when not.